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Zodiac密码算法的多维零相关线性分析
引用本文:程璐,魏悦川,潘晓中,李安辉.Zodiac密码算法的多维零相关线性分析[J].计算机应用,2017,37(6):1605-1608.
作者姓名:程璐  魏悦川  潘晓中  李安辉
作者单位:1. 武警工程大学 电子技术系, 西安 710086;2. 网络与信息安全武警部队重点实验室, 西安 710086
基金项目:国家自然科学基金资助项目(61202492,61572521);信息保障技术国家重点实验室开放基金(KJ-15-010);陕西省自然科学基金资助项目(2016JQ6030)。
摘    要:分组密码算法Zodiac支持3种密钥长度,分别为Zodiac-128、Zodiac-192、Zodiac-256。利用零相关线性分析方法评估了Zodiac算法的安全性,首先根据算法的结构特性,构造了一些关于Zodiac算法的10轮零相关线性逼近,然后对16轮Zodiac-192进行了多维零相关分析。分析结果显示:攻击过程中一共恢复了19个字节的密钥,其数据复杂度约为2124.40个明密文对,计算复杂度为2181.58次16轮加密。由此可得:16轮(即全轮)192 bit密钥的Zodiac算法(Zodiac-192)对于零相关线性分析方法是不安全的。

关 键 词:分组密码  Zodiac密码算法  线性掩码  线性逼近  零相关线性分析  
收稿时间:2016-12-12
修稿时间:2017-02-26

Multidimensional zero-correlation linear cryptanalysis on Zodiac cipher algorithm
CHENG Lu,WEI Yuechuan,PAN Xiaozhong,LI Anhui.Multidimensional zero-correlation linear cryptanalysis on Zodiac cipher algorithm[J].journal of Computer Applications,2017,37(6):1605-1608.
Authors:CHENG Lu  WEI Yuechuan  PAN Xiaozhong  LI Anhui
Affiliation:1. Department of Electronic Technology, Engineering College of the Armed Police Force, Xi'an Shaanxi 710086, China;2. Key Laboratory of Network & Information Security under the Chinese Armed Police Force, Xi'an Shaanxi 710086, China
Abstract:Zodiac is a block cipher algorithm and it supports 3 master key lengths which are called Zodiac-128, Zodiac-192 and Zodiac-256. The security of Zodiac algorithm was evaluated by using zero-correlation linear cryptanalysis. Firstly, 10-round zero-correlation linear approximations of Zodiac algorithm were constructed according to the structural characteristics of the algorithm. Then, the multidimensional zero-correlation linear cryptanalysis on 16-round Zodiac-192 was conducted. The analysis results show that 19-byte keys were restored totally in the process of attack, the data complexity was about 2124.40 known ciphertexts and the computational complexity was 2181.58 encryptions of 16-round. Thus the Zodiac-192 algorithm with the 192-bit key of 16 rounds (full rounds) is not immune to the zero-correlation linear cryptanalysis.
Keywords:block cipher                                                                                                                        Zodiac cipher algorithm                                                                                                                        linear mask                                                                                                                        linear approximation                                                                                                                        zero-correlation linear cryptanalysis
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